λ
Harmonic Matrix

1,094,769

33 × 13 × 3119
Deficient Odd Composite

1,094,769 has digital root 9. The neighboring primes are 1094759 and 1094773; its proper-divisor sum differs from the starting integer by -442,338.

Prime Factor Structure

Factorization String 3^3 × 13 × 3119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,747,200
Proper Divisor Sum 652,431
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1094759 ← → #1094773

Radix Representation

Decimal 1094769
Binary 100001011010001110001 (21 bits)
Octal 0o4132161
Hexadecimal 0x10B471

Divisor Catalog (16)

1 3 9 13 27 39 117 351 3,119 9,357 28,071 40,547 84,213 121,641 364,923 1,094,769

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,094,769 3,284,308 1,642,154 821,077 2,463,232 1,231,616 615,808 307,904 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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